Information on Result #547041
There is no linear OA(3234, 246, F3, 156) (dual of [246, 12, 157]-code), because residual code would yield OA(378, 89, S3, 52), but
- the linear programming bound shows that M ≥ 298 630446 198644 459587 118144 486403 305957 001183 / 16 135903 > 378 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3235, 247, F3, 157) (dual of [247, 12, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(3236, 248, F3, 158) (dual of [248, 12, 159]-code) | [i] | ||
| 3 | No linear OOA(3235, 246, F3, 2, 157) (dual of [(246, 2), 257, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3236, 246, F3, 2, 158) (dual of [(246, 2), 256, 159]-NRT-code) | [i] | ||
| 5 | No linear OOA(3238, 246, F3, 2, 160) (dual of [(246, 2), 254, 161]-NRT-code) | [i] | ||
| 6 | No linear OOA(3239, 246, F3, 2, 161) (dual of [(246, 2), 253, 162]-NRT-code) | [i] | ||
| 7 | No linear OOA(3234, 246, F3, 2, 156) (dual of [(246, 2), 258, 157]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(3234, 246, F3, 3, 156) (dual of [(246, 3), 504, 157]-NRT-code) | [i] | ||
| 9 | No linear OOA(3234, 246, F3, 4, 156) (dual of [(246, 4), 750, 157]-NRT-code) | [i] | ||
| 10 | No linear OOA(3234, 246, F3, 5, 156) (dual of [(246, 5), 996, 157]-NRT-code) | [i] | ||
| 11 | No digital (78, 234, 246)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |